This article presents semianalytical solutions of a linear general rate model for fixed-bed liquid chromatographic reactors packed with core shell particles. The model considers axial dispersion, interfacial mass transfer, intraparticle diffusion, linear adsorption, heterogeneous irreversible and reversible reactions, and injection of rectangular pulses. The Laplace transformation and eigen-decomposition technique are simultaneously applied to derive analytical solutions. The numerical Laplace inversion is applied for back transforming solutions in the actual time domain. A high resolution finite volume scheme is used to numerically approximate the model equations. Different case studies of reactive chromatography are considered to analyze the effect of core radius fraction on the elution profiles.